Generalised Cauchy-Riemann Lightlike Submanifolds of Indefinite Kenmotsu Manifolds

被引：6
|
作者：
Gupta, Ram Shankar [1 ]
Sharfuddin, A. [2 ]
机构：
[1] Guru Gobind Singh Indraprastha Univ, Univ Sch Basic & Appl Sci, Sector 16C, Delhi 110075, India
[2] Jamia Millia Islamia, Fac Nat Sci, Dept Math, New Delhi 110025, India
来源：
NOTE DI MATEMATICA | 2010年 / 30卷 / 02期
关键词：
Degenerate metric; Kenmotsu manifold; CR-submanifold;
D O I：
10.1285/115900932v30n2p49
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we introduce the notion of generalised Cauchy-Riemann (GCR) lightlike submanifolds of indefinite Kenmotsu manifold which includes invariant, contact CR, contact screen Cauchy-Riemann (contact SCR) lightlike subclasses [12]. A condition has been discussed for GCR-lightlike submanifold of an indefinite Kenmotsu manifold to be minimal. We have also studied totally contact umbilical GCR-lightlike submanifolds. Examples of GCR-lightlike submanifold of an indefinite Kenmotsu manifold have also been given.
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页码：49 / 59
页数：11
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